I'm going to stick my neck out here and offer a suggestion.
Normally the rotor and stator are wired in series. Which 2 wires from the rotor determines the speed, and which way round determines the direction.
So do you have any test equipment? e.g a multimeter?
If so find out which pair of stator wires gives the highest resistance, and try those first, connected in series with the rotor.
Advice given on the understanding it's not guaranteed to work, and if you blow yourself up trying, it's not my fault.
I still concur with the advice from others, this is not the best motor to be trying, but you insist you want to try it, and will probably do so with or without guidance.
From this type of old washing machine it was probably just relays used to determine which windings connect at any one time and that will give just a few different speed options.
Make sure you know what you are doing, this is mains voltage, so please ensure all is dead while you connect it, and you energise it from a safe distance in case it goes wrong, and the motor is fixed down to a solid base before you apply power.